Suppose we walk along the ellipse 1 in a constant speed v. Find a relation between...
A car makes a sharp 90ᵒ turn in the form of an ellipse. It comes into the ellipse at a speed V along the semi-major axis A and exits the turn along the semi-minor axis B. The car turns with a constant angular speed the entire way through. What is the acceleration vector in relative coordinates half way through the turn (as measured by angle)? (2) A car makes a sharp 90° turn in the form of an ellipse. It...
7. A point P moves along the spiral rae20 with constant speed u. Show that the components of its velocity along and perpendicular to the radius vector are constant. Find in terms of u and r the magnitude of the resultant acceleration of P. Find the angle between this acceleration and the velocity of P 7. A point P moves along the spiral rae20 with constant speed u. Show that the components of its velocity along and perpendicular to the...
Problem 2: A particle is traveling with uniform (constant) speed, v. Answer the following questions carefully a. If the particle is traveling along a straight line path, with this constant speed, what is the magnitude of its acceleration vector? What is the direction of the acceleration vector? b. If the particle is traveling along a circular path of radius of curvature, p. what is the magnitude of the acceleration vector? What is the direction of the acceleration vector? Why is...
The boat is traveling along the circular path with a speed of v=(0.0625t2) m/s, where t is in seconds. (Figure 1) Part A If ? = 42 m , determine the magnitude of its acceleration when t = 12 s . Express your answer to three significant figures and include the appropriate units.
A bead slides at constant speed along a curved wire lying on a horizontal surface as shown in the figure Suppose the bead speeds up with constant tangential acceleration as it moves toward the right. Draw the vectors representing the force on the bead at points A B, and C We were unable to transcribe this image
In the figure, particle A moves along the line y = 33 m with a constant velocity v of magnitude 2.7 m/s and directed parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with zero initial speed and constant acceleration ã of magnitude 0.46 m/s2. What angle θ between a and the positive direction of the y axis would result in a collision?
A car is traveling north along a straight road with a constant speed of 11.2 m/s. In order to pass through an intersection before the traffic light turns red, the driver accelerates forward with a constant magnitude of 2.25 m/s2 for 3.70 s. A)What is v0? B) What is a? C)What is t? D) What is the velocity of the car at the end of the acceleration? E)What is the position of the car at the end of the acceleration?...
The instantaneous speed of a particle moving along one straight line is v(t) = ate−4t, where the speed v is measured in meters per second, the time t is measured in seconds, and the magnitude of the constant a is measured in meters per second squared. What is its maximum speed, expressed as a multiple of a? (Do not include units in your answer.) Answer: V= a
A bicycle wheel is rolling with constant angular speed along a horizontal surface where we spotted it. But the surface changes to downward slope and then back to horizontal as shown in the sketch. Draw angular velocity vs. time and angular acceleration vs. time graph of the wheel.
In the figure, particle A moves along the line y = 33 m with a constant velocity v→ of magnitude 3.5 m/s and directed parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with zero initial speed and constant acceleration a→ of magnitude 0.46 m/s2. What angle θ between a→ and the positive direction of the y axis would result in a collision?